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Finding the Fourth Proportional to 219,104.73, 328,693.40 and 76,913.11

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Solution

The fourth proportional to 219,104.73, 328,693.40 and 76,913.11 is: 115,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,104.73 : 328,693.40 = 76,913.11 : x
  2. Step 2: Convert to fraction form
    219,104.73/328,693.40 = 76,913.11/x
  3. Step 3: Cross multiply
    219,104.73x = 328,693.40 × 76,913.11
  4. Step 4: Simplify right side
    219,104.73x = 25,280,831,145.24
  5. Step 5: Solve for x
    x = 25,280,831,145.24/219,104.73
  6. Step 6: Final answer
    x = 115,382.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.